The boat's speed in still water is 30 km/h. A boat travels for three hours downstream and then returns the
same distance upstream in five hours. Find the speed of the stream.
Answers
Answer:Answer is 8.Step-by-step explanation:
Given,
The boat's speed in
still water is 30 km/h. A boat travels for 3 hours downstream and then returns the same distance upstream in 5 hours therefore, let the speed of the stream be x, Downstream speed =(x+2)km/h
Upstream speed =(x-2)km/h
ATQ - - -
3(x+2)=5(x-2)or,
3x+6=5x-10or,
-2x=16or,
x=8
Hence, the speed of the stream is 8km/h
Please follow Haritayama 7
Answer:
Given :
Speed of boat in still water =15 km/hr
Let x be speed of the stream in km/hr
Speed of the boat upstream =15−x
Speed of the boat down stream =15+x
Time taken for upstream T
1
=
15−x
30
Time taken for downstream T
2
=
15+x
30
Given, T
1
+T
2
=
2
9
=
15−x
30
+
15+x
30
=
2
9
=30(
15−x
1
+
15+x
1
)=
2
9
=30(
(15−x)(15+x)
15+x÷15−x
)=
2
9
=
225−x
2
30×30
=
2
9
=
225−x
2
100
=
2
1
⇒225−x
2
=200
⇒x
2
=25
⇒x=5 ....(∵x is +ve)
⇒x=5 km/hr
Speed of the stream =5 km/hr
Hope it will help you!
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